初二数学题因式分解(x^3-3x^2)-(x^2-x-6)

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初二数学题因式分解(x^3-3x^2)-(x^2-x-6)
初二数学题因式分解(x^3-3x^2)-(x^2-x-6)

初二数学题因式分解(x^3-3x^2)-(x^2-x-6)
(x^3-3x^2)-(x^2-x-6)
=x^2(x-3)-(x-3)(x+2)
=(x-3)(x^2-x-2)
=(x-3)(x-2)(x+1)

原式=x²(x-3)-(x-3)(x+2)
=(x-3)[x²-(x+2)]
=(x-3)(x²-x-2)
=(x-3)(x-2)(x+1)

=x^2(x-3)-(x+2))(x-3)
=(x-3)(x^2-x-2)
=(x-3)(x+1)(x-2)